*Conducted in term:*2020Z

*Erasmus code:*13.2

*ECTS credits:*7

*Language:*Polish

*Organized by:*Faculty of Physics

*Related to study programmes:*

# Electrodynamics E 1100-3Ind05

Classical electrodynamics gave birth to field theoretic description of interactions and paved the way to theoretical unification of fundamental forces. Its understanding is a prerequisite to the quantum theory of fundamental interactions. Methods developed in electrodynamics are universal and find applications in many branches of physics.

**Program:**

1. Basic laws of classical electrodynamics: Maxwell's laws in vacuum, electromagnetic potentials, symmetries and conservation laws, invariance under Lorentz transformations.

2. Covariant formulation: space-time, fourtensors, elements of classical field theory, Lagrangian, Hamilton's principle, equations of motion, Noether's theorem, charge in external electromagnetic field, Aharonov-Bohm effect.

3. Maxwell's equations in matter: macroscopic fields, boundary conditions at interfaces of different media.

4. Electrostatics: basic equations, Dirichlet and Neuman problem, Green's function, multipole expansion, energy, force and torque of electrostatic field.

5. Magnetostatics and stationary currents: basic laws, analogy to electrostatics, potentials, stationary currents, energy, force and torque of magnetic field.

6. Time-varying electromagnetic fields: electromagnetic fields in vacuum and in matter, Green's functions, dispersion relations, multipole expansion for time-varying fields, elements of diffraction theory, geometric optics.

This instruction is not a strict translation of the polish version.

Description by Jan Kalinowski, November 2009.

## Course coordinators

## Bibliography

1. J. D. Jackson, Classical Electrodynamics

2. D. J. Griffiths, Introduction to electrodynamics

3. L. Landau, E. Lifszyc, Field theory

4. L. Landau, E. Lifszyc, Electrodynamics of continuous media

## Additional information

Information on *level* of this course, *year of study* and semester when the course
unit is delivered, types and amount of *class hours* - can be found in course structure
diagrams of apropriate study programmes. This course is related to
the following study programmes:

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*localization and schedules* of classes), might be available in the USOSweb system: